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Finding the Third Proportional to 206,959 and 372,810

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Solution

The third proportional to 206,959 and 372,810 is: 671,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,959 : 372,810 = 372,810 : x
  2. Step 2: Convert to fraction form
    206,959/372,810 = 372,810/x
  3. Step 3: Cross multiply
    206,959x = 372,810 × 372,810
  4. Step 4: Simplify right side
    206,959x = 138,987,296,100
  5. Step 5: Solve for x
    x = 138,987,296,100/206,959
  6. Step 6: Final answer
    x = 671,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.